How much space do the subordinate boys have to get away from the alpha? Sorry for your kids, please let them know that it usually looks much worse than it is.
Identify the cause of the bleeding.. was it a confrontation and between who if so? Or was it an accidental scratch or catch on something?
Small battles can appear MUCH bloodier than they are.. and behavior is a good indicator of what happened. Is anyone hiding, got black eyes, not eating or drinking, not going to roost, etc? Sounds like it was VERY minor. Morning feed time is when antics are often rowdiest among boys HERE. Roost time is often brutal, but quickly a routine is established that minimizes them.. subordinates *usually* go up early to stake a spot or late to fill one in without too much picking. I have boys at times.. battle it out.. and go to bed together at night withOUT a lady between them.

Even the best of friends will have disagreements at times!
Inspecting after dark using a flash light is ALWAYS the easiest way to catch and look over an unwilling bird. Keep it dark and they won't require ANY chasing. Hold their wings tight to their back to prevent panicked flapping and keep them calm as you proceed.
Do NOT separate the scraped up boy.. or they will NOT go back together again. Most often, as long as there is plenty of room.. it will resolve itself.. If separation is preferred, do so IN sight of the flock.
However, with spring approaching.. antics are likely to increase.. and with kiddos in the mix.. I would definitely be seeking alternative options for 2 if not all 3 boys.
Craigslist farm and garden section is where I see them for sell cheap and free.. for flock master OR supper table, sometimes requesting not to be told IF that IS your intention.
Two of local feed stores would take roosters.. and give store credit for $5-10 IF they have the space. They all also offer free posting boards.
Predator boost your second coop security system and let the 2 subordinate boys stay there as a bachelor pad IF you have the resources including time, energy, etc to allow for that.. Many of us keep stag pens for different reasons.. eating, breeding, or simply those who cannot find other homes, or face the alternative that their chicken lived a good, shorter life than SOME, and had ONE bad moment that was over before they could process what happened to them.. and WAY better than factory chicken.. I'm not saying they are wrong if they feel that way! It's a personal choice.. I WISH I knew earlier in life about where food really comes from! But thankful for my understanding now and appreciate that each family's journey is unique.
You boys *may* still work it out if you give them time.
Adding in extra visual barriers.. a chair on it's side, a bale of hay, cardboard box, etc.. and some enrichment like hanging corn on the cob or heads of cabbage in multiple locations where they have to jump to get it.. (during summer ice cubes with frozen peas), a compost scratching pile to look for bugs.
Hen to cockerel/rooster ration needed depends completely on the individual and even a rooster given plenty of hen access may over mate their favorite.. while I have kept others in a 3 pullet/2 cockerel ratio and had ZERO issues with over mating.
I disagree about red being of any interest unless it's out of place and looks like a bug or actually gets it's deliciousness discovered. I doubt it will be of any concern in THIS instance the way it may be in a crowded brooder. Otherwise.. every single chicken comb and wattle is red as are their vent when they poop and so on..
ETA: Remove one expect pecking order to change and antics to increase short term at least.
Hope this helps a little.
ETAA: one day is usually not enough separation time to realize a pecking order difference in my stag pen or breeding flocks.. ie: one day is usually a safe return.